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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2012, Volume 15, Number 2, Pages 131–139 (Mi sjvm463)  
This article is cited in 3 scientific papers (total in 3 papers)

Non-reflecting boundary condition on ellipsoidal boundary

H. Barucqab, A.-G. Dupouy St-Guironsacb, S. Tordeuxab

a Projet Magique 3D, INRIA Bordeaux Sud-Ouest
b LMA, UMR CNRS 5142, Université de Pau et des Pays de l'Adour
c Basque Center for Applied Mathematics (BCAM) Bizkaia Technology Park, Derio, Basque Country, Spain
Full-text PDF (603 kB) Citations (3)
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Abstract: Modeling of wave propagation problems using finite element methods usually requires the truncation of the computation domain around the scatterer of interest. Absorbing boundary conditions are classically considered in order to avoid spurious reflections. In this paper, we investigate some properties of the Dirichlet to Neumann map posed on a spheroidal boundary in the context of the Helmholtz equation.
Key words: Helmholtz equation, boundary value problem for second-order elliptic equation, wave propagation, scattering problems.
Received: 04.10.2011
English version:
Numerical Analysis and Applications, 2012, Volume 5, Issue 2, Pages 109–115
DOI: https://doi.org/10.1134/S1995423912020024
Bibliographic databases:
Document Type: Article
MSC: 35J05, 35J25, 78A40, 78A45
Language: Russian
Citation: H. Barucq, A.-G. Dupouy St-Guirons, S. Tordeux, “Non-reflecting boundary condition on ellipsoidal boundary”, Sib. Zh. Vychisl. Mat., 15:2 (2012), 131–139; Num. Anal. Appl., 5:2 (2012), 109–115
Citation in format AMSBIB
\Bibitem{BarDupTor12}
\by H.~Barucq, A.-G.~Dupouy St-Guirons, S.~Tordeux
\paper Non-reflecting boundary condition on ellipsoidal boundary
\jour Sib. Zh. Vychisl. Mat.
\yr 2012
\vol 15
\issue 2
\pages 131--139
\mathnet{http://mi.mathnet.ru/sjvm463}
\transl
\jour Num. Anal. Appl.
\yr 2012
\vol 5
\issue 2
\pages 109--115
\crossref{https://doi.org/10.1134/S1995423912020024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862122235}
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  • https://www.mathnet.ru/eng/sjvm463
  • https://www.mathnet.ru/eng/sjvm/v15/i2/p131
    • This publication is cited in the following 3 articles:
    1. Hélène Barucq, Nathan Rouxelin, Sébastien Tordeux, “Low-order Prandtl-Glauert-Lorentz based Absorbing Boundary Conditions for solving the convected Helmholtz equation with Discontinuous Galerkin methods”, Journal of Computational Physics, 468 (2022), 111450  crossref
    2. Hélène Barucq, Nathan Rouxelin, Sébastien Tordeux, “Low-Order Prandtl-Glauert-Lorentz Based Absorbing Boundary Conditions for Solving the Convected Helmholtz Equation with Discontinuous Galerkin Methods”, SSRN Journal, 2022  crossref
    3. Barucq H., Fares M'Barek, Kruse C., Tordeux S., “Sparsified Discrete Wave Problem Involving a Radiation Condition on a Prolate Spheroidal Surface”, IMA J. Numer. Anal., 41:1 (2021), 315–343  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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